• Title/Summary/Keyword: Smirnov-Orlicz class

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APPROXIMATION BY INTERPOLATING POLYNOMIALS IN SMIRNOV-ORLICZ CLASS

  • Akgun Ramazan;Israfilov Daniyal M.
    • Journal of the Korean Mathematical Society
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    • v.43 no.2
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    • pp.413-424
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    • 2006
  • Let $\Gamma$ be a bounded rotation (BR) curve without cusps in the complex plane $\mathbb{C}$ and let G := int $\Gamma$. We prove that the rate of convergence of the interpolating polynomials based on the zeros of the Faber polynomials $F_n\;for\;\bar G$ to the function of the reflexive Smirnov-Orlicz class $E_M (G)$ is equivalent to the best approximating polynomial rate in $E_M (G)$.